Topological Quantum Computation

@inproceedings{Ogburn1998TopologicalQC,
  title={Topological Quantum Computation},
  author={R. Walter Ogburn and John Preskill},
  booktitle={QCQC},
  year={1998}
}
Following a suggestion of A. Kitaev, we explore the connection between fault-tolerant quantum computation and nonabelian quantum statistics in two spatial dimensions. A suitably designed spin system can support localized excitations (quasiparticles) that exhibit long-range nonabelian Aharonov-Bohm interactions. Quantum information encoded in the charges of the quasiparticles is highly resistant to decoherence, and can be reliably processed by carrying one quasiparticle around another. If… 
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